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Ronch [10]
2 years ago
8

A school had an election where the candidates received votes in the ratio of 1:2:3. If the winning candidate received 210 votes,

how many people voted in the election?
Mathematics
1 answer:
disa [49]2 years ago
3 0
Now, let's say the total of folks voting were "x".

now, if we divide "x" even into "1+2+3" pieces, we'd get some quotient value, the first candidate took 1 of those even pieces, the second candidate took 2 of those even pieces, and the winning candidate took 3 of them, thus winning anyway.

let's do the division, keeping in mind that the winning candidate had 210 votes.

\bf \cfrac{x}{1+2+3}\implies \cfrac{x}{6}\implies \stackrel{\textit{winning candidate pieces}}{3\cdot \cfrac{x}{6}}=\stackrel{\textit{winning candidate votes}}{210}
\\\\\\
\cfrac{3x}{6}=210\implies \cfrac{x}{2}=210\implies x=420
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Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks
Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

x + 12\leq 27

subtract 12 from both sides

x\leq 15

Therefore , the sister has at most 15 pairs of socks

4 0
3 years ago
What is the height of the building?<br><br> 33.9 m<br> 37.1 m<br> 36.8 m<br> 34.5 m
madreJ [45]
37.1
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5 0
2 years ago
According to a study conducted in one city, 34% of adults in the city have credit card debts of more than$2000. A sample n=300 i
JulsSmile [24]

Answer:

p hat≈N(0.34,0.0273)

Step-by-step explanation:

Given information p=0.34

Number of random samples=300

The sampling distribution of p hat is

p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})

    ≈N(0.34,0.0273)

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f
Svetradugi [14.3K]

i) The given function is

f(x)=\frac{3x-6}{5-2x}

The domain is all real values except the ones that will make the denominator zero.

5-2x=0

-2x=-5

x=2.5

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

5-2x=0

-2x=-5

x=2.5

iii) If we equate the numerator to zero, we get;

3x-6=0

3x=6

This implies that;

x=2

iv) To find the y-intercept, we put x=0 into the given function to get;

f(0)=\frac{3(0)-6}{5-2(0)}.

f(0)=\frac{-6}{5}.

f(0)=-\frac{6}{5}.

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote  is y=-\frac{3}{2}.

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0
3 years ago
Is √ 2/9 a rational number​
Digiron [165]

Answer:

No it is not

Step-by-step explanation:

well if you see any number that is could be written as a  fraction is rational. square root of 9 is 3,  but in this case the square root of 2 is irrational, so it is a irrational number.

3 0
3 years ago
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